3x^2-37x=-134

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Solution for 3x^2-37x=-134 equation: 


Simplifying
3x2 + -37x = -134

Reorder the terms:
-37x + 3x2 = -134

Solving
-37x + 3x2 = -134

Solving for variable 'x'.

Reorder the terms:
134 + -37x + 3x2 = -134 + 134

Combine like terms: -134 + 134 = 0
134 + -37x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
44.66666667 + -12.33333333x + x2 = 0

Move the constant term to the right:

Add '-44.66666667' to each side of the equation.
44.66666667 + -12.33333333x + -44.66666667 + x2 = 0 + -44.66666667

Reorder the terms:
44.66666667 + -44.66666667 + -12.33333333x + x2 = 0 + -44.66666667

Combine like terms: 44.66666667 + -44.66666667 = 0.00000000
0.00000000 + -12.33333333x + x2 = 0 + -44.66666667
-12.33333333x + x2 = 0 + -44.66666667

Combine like terms: 0 + -44.66666667 = -44.66666667
-12.33333333x + x2 = -44.66666667

The x term is -12.33333333x.  Take half its coefficient (-6.166666665).
Square it (38.02777776) and add it to both sides.

Add '38.02777776' to each side of the equation.
-12.33333333x + 38.02777776 + x2 = -44.66666667 + 38.02777776

Reorder the terms:
38.02777776 + -12.33333333x + x2 = -44.66666667 + 38.02777776

Combine like terms: -44.66666667 + 38.02777776 = -6.63888891
38.02777776 + -12.33333333x + x2 = -6.63888891

Factor a perfect square on the left side:
(x + -6.166666665)(x + -6.166666665) = -6.63888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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